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Homework Help: Acceleration problem

  1. Oct 9, 2006 #1
    A particle moves with acceleration a(t) = cos(t)+3

    Intital velocity v(0)= 5
    initial position s(0) =3

    a) fin velocity of particle at time t

    v(t) = sin(t)+3t+C
    plugging 0 for t I get C = 5

    s(t) = -cos(t) + 3/2t^2 + 5t + C
    plugging 0 for s I get C = 3

    answer: v(t) = sin(t)+3t+5

    b) What is the total distance traveled from t = pi to t = 2pi

    integral pi to 2pi = v(t) = sin(t)+3t+5
    = s(2pi)-s(pi)


    Thanks!
     
  2. jcsd
  3. Oct 9, 2006 #2

    dextercioby

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    Science Advisor
    Homework Helper

    I think the "C" in the x(t) is 4 and not 3.

    [itex]\cos 0=1 [/itex]

    Daniel.
     
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